Parabolic conjugacy in general linear groups
Group Theory
2007-05-23 v2 Combinatorics
Abstract
Let q be a power of a prime and n a positive integer. Let P(q) be a parabolic subgroup of the finite general linear group GL(n,q). We show that the number of P(q)-conjugacy classes in GL(n,q) is, as a function of q, a polynomial in q with integer coefficients. This answers a question of J. Alperin.
Cite
@article{arxiv.math/0611780,
title = {Parabolic conjugacy in general linear groups},
author = {Simon M. Goodwin and Gerhard Roehrle},
journal= {arXiv preprint arXiv:math/0611780},
year = {2007}
}
Comments
12 pages; to appear in Journal of Algebraic Combinatorics